Questions about Philips Hue Play expansion

Why is the extension more expensive than the base, which still includes the power supply unit? I can simply buy the base, which is around 30 euros cheaper, to extend my existing one and throw the power supply unit in the bin. Somehow it doesn't make sense.

If I bought a single and now buy the extension, does it work like the set of 2? Or do they both light up in the same colour, I want both sides to light up differently for gaming.

What does extension mean? Can I connect this product via Bluetooth only? Does it come with a mains adapter? Why is this cheaper than the others?

I bought the Hue base and an extension. I was able to connect the base via Bluetooth but I can't add the extension. Surely this should be compatible? There is also no option to connect via serial number in the app...

Is the cable length really 29.80m as listed in the specifications?

do you need the synch box for this ?

According to the specifications, the cable length is 29.80 m?

I bought Philips Expansion of Hue Play but surprise no power plug in the box. If I buy the hue bridge is that enough to run the lamp?

I ordered two philips hue play expansion from you but didn't see that unfortunately there is no socket to plug them in directly to the power supply! Is it possible to have it separate?

How long is the cable?

What is the difference between the Play Bar and the Play Bar Extension (apart from the price)?

where to find a power supply for hue play extension